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Kelly Opens an Aquarium Store in a Lively Shopping Mall

Question 1

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Kelly opens an aquarium store in a lively shopping mall and finds business to be booming, but she often stocks out of key items customers want. She decides to experiment with inventory control methods such as using a fixed order quantity (FQS) and/or fixed order period (FPS) systems. The Fluval 303 pump, a high margin and profitable pump, is one of her best sellers, but it stocks out frequently. She collects the following data about the pump's sales.
 Demand =10 units per week  Store operates 45 weeks / year  Order cost =$30/ order  Lead time =3 weeks  Item cost =$80/ pump  Standard deviation of weekly demand =4 units  Inventory-holding cost =15% per year  Desired service level =90 percent \begin{array} { l l } \text { Demand } = 10 \text { units per week } & \text { Store operates } 45 \text { weeks } / \text { year } \\\text { Order cost } = \$ 30 / \text { order } & \text { Lead time } = 3 \text { weeks } \\\text { Item cost } = \$ 80 / \text { pump } & \text { Standard deviation of weekly demand } = 4 \text { units } \\\text { Inventory-holding cost } = 15 \% \text { per year } & \text { Desired service level } = 90 \text { percent }\end{array}
-The economic order quantity (EOQ) rounded to the next highest number is:


A) less than 25 pumps.
B) more than 25 but less than or equal to 35 pumps.
C) more than 35 but less than or equal to 45 pumps.
D) more than 45 but less than or equal to 55 pumps.

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